A note on information entropy measures for vague sets and its applications

  • Authors:

  • Qian-Sheng Zhang;Sheng-Yi Jiang

  • Affiliations:

  • School of Information Science and Technology, Guangdong University of Foreign Studies, Guangzhou 510420, PR China;School of Information Science and Technology, Guangdong University of Foreign Studies, Guangzhou 510420, PR China

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2008

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Abstract

A new nonprobabilistic entropy of a vague set is proposed by means of the intersection and union of the membership degree and nonmembership degree of the vague set. The concept called vague cross-entropy of vague sets will also be discussed and its definition is given by analogy with the cross-entropy of probability distributions. Finally, two numeric examples are presented to illustrate the applications of vague cross-entropy to pattern recognition and medical diagnosis.